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Finding the Third Proportional to 287,824.50 and 462,181.50

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Solution

The third proportional to 287,824.50 and 462,181.50 is: 742,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,824.50 : 462,181.50 = 462,181.50 : x
  2. Step 2: Convert to fraction form
    287,824.50/462,181.50 = 462,181.50/x
  3. Step 3: Cross multiply
    287,824.50x = 462,181.50 × 462,181.50
  4. Step 4: Simplify right side
    287,824.50x = 213,611,738,942.25
  5. Step 5: Solve for x
    x = 213,611,738,942.25/287,824.50
  6. Step 6: Final answer
    x = 742,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.